Thursday 18th of April 2024
 

New Implementation of the Moment Method Based on the Impedance Operator to Study the Dispersion Characteristics of Microstrip Lines


Nejla Oueslati1 and Taoufik Aguili

An original integral method (MR-GEC) based on the moment method (MoM) is developed in this paper to study dispersion characteristics of uniform microstrip lines. The introduction of a novel impedance operator by using the Generalized Equivalent Circuit (GEC) approach offers the simplicity of the resolution of the boundary problems by the transposition of problems in fields to electric circuit problems and the implementation of numerical procedures with a minimum of analytical pretreatment. The impedance/admittance operator is discretized in matrix forms by Galerkins procedure, using orthonormal periodic wavelets as testing functions. A new algorithm is developed employing a multiresolution analysis (MR) which is based on the Discrete Wavelet Transform (DWT) to reduce the computational effort in filling the impedance matrix entries. Using the proposed MR-GEC method and subsequently applying a threshold operation, a substantial reduction in the number of elements of the impedance matrix and in the memory storage are attained without virtually affecting the solution accuracy. The numerical results obtained in this paper reveal the validity of the proposed method.

Keywords: moment method (MoM), Generalized Equivalent Circuit approach (GEC, wavelet, impedance operator, boundary conditions.

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ABOUT THE AUTHORS

Nejla Oueslati1
She received her Ing. degree in Telecommunications and her Master degree in Communication Systems from the Ecole Nationale d’Ingénieurs de Tunis (ENIT), Tunisia. She is currently working towards her Ph.D. degree in telecommunications at Communication Systems Laboratory, ENIT, Tunisia. Her current research interest includes passive and active microwave structures.

Taoufik Aguili
He is working as Professor at the Ecole Nationale d’Ingénieurs de Tunis (ENIT), Tunisia. He received his Dip.Ing in Electrical Engineering, and Ph.D. in Telecommunications from INSA France. His research interests include passive and active microwave structures and optical communications.


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